can be viewed as a game where a player is given an input \(z\)  and should output an index \(i\)  (say with probability \(p_{z,i}= \frac{w_{z,i}}{\sum _j w_{z,j}}\) ). The player wins against an input \(z^{\prime }\)  (with \(f(z) = 1- f(z^{\prime })\) ) if \(z_i\ne z^{\prime }_i\) .
Then, \(\mathsf {FC}(f)\) , for total functions, is (up to constant factors) the multiplicative inverse of the probability of winning the game in the worst case [1]}, [2]}, [3]}.
